INTERSECTION THEORY

@inproceedings{Lauritzen2007INTERSECTIONT,
  title={INTERSECTION THEORY},
  author={Niels Lauritzen and Johan P. Hansen},
  year={2007}
}
I provide more details to the intersection theoretic results in [1]. CONTENTS 1. Transversality and tubular neighborhoods 1 2. The Poincaré dual of a submanifold 4 3. Smooth cycles and their intersections 8 4. Applications 14 5. The Euler class of an oriented rank two real vector bundle 18 References 20 1. TRANSVERSALITY AND TUBULAR NEIGHBORHOODS We need to introduce a bit of microlocal terminology. We begin by reviewing a few facts of linear algebra. If V is a finite dimensional real vector… 

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